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Simplifying 6 + -3(-3m + -3) = 6(m + 5) + 4m Reorder the terms: 6 + -3(-3 + -3m) = 6(m + 5) + 4m 6 + (-3 * -3 + -3m * -3) = 6(m + 5) + 4m 6 + (9 + 9m) = 6(m + 5) + 4m Combine like terms: 6 + 9 = 15 15 + 9m = 6(m + 5) + 4m Reorder the terms: 15 + 9m = 6(5 + m) + 4m 15 + 9m = (5 * 6 + m * 6) + 4m 15 + 9m = (30 + 6m) + 4m Combine like terms: 6m + 4m = 10m 15 + 9m = 30 + 10m Solving 15 + 9m = 30 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 15 + 9m + -10m = 30 + 10m + -10m Combine like terms: 9m + -10m = -1m 15 + -1m = 30 + 10m + -10m Combine like terms: 10m + -10m = 0 15 + -1m = 30 + 0 15 + -1m = 30 Add '-15' to each side of the equation. 15 + -15 + -1m = 30 + -15 Combine like terms: 15 + -15 = 0 0 + -1m = 30 + -15 -1m = 30 + -15 Combine like terms: 30 + -15 = 15 -1m = 15 Divide each side by '-1'. m = -15 Simplifying m = -15
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